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Finding the Third Proportional to 658,230,052 and 1,370,941,418

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Solution

The third proportional to 658,230,052 and 1,370,941,418 is: 2,855,354,850.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,230,052 : 1,370,941,418 = 1,370,941,418 : x
  2. Step 2: Convert to fraction form
    658,230,052/1,370,941,418 = 1,370,941,418/x
  3. Step 3: Cross multiply
    658,230,052x = 1,370,941,418 × 1,370,941,418
  4. Step 4: Simplify right side
    658,230,052x = 1,879,480,371,587,850,752
  5. Step 5: Solve for x
    x = 1,879,480,371,587,850,752/658,230,052
  6. Step 6: Final answer
    x = 2,855,354,850.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.